i) The coordinates a ii) The equations of ii) The equations of v) The coordinates asymptote.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer subpart(iv)

2x-
For the graph y = f(x) =
Find:
%3D
x2+x-6
(i) The coordinates of the x-intercept(s) and the y-intercept.
(ii) The equations of the vertical asymptote(s).
(iii) The equations of the horizontal asymptotes.
(iv) The coordinates of the points where the graph meets the horizontal
asymptote.
Transcribed Image Text:2x- For the graph y = f(x) = Find: %3D x2+x-6 (i) The coordinates of the x-intercept(s) and the y-intercept. (ii) The equations of the vertical asymptote(s). (iii) The equations of the horizontal asymptotes. (iv) The coordinates of the points where the graph meets the horizontal asymptote.
Expert Solution
Step 1

The given function is fx=y=2x2-1x2+x-6..

The function has the numerator and denominator same degree.

The horizontal asymptote of the function is ,

y=2x2x2=2.

The coordinates of the point where the graph meets the horizontal asymptote,

2=2x2-1x2+x-6.

Step 2

Simplify the equation ,

2=2x2-1x2+x-6.2x2+2x-12=2x2-12x-12+1=02x-11=0x=112

The coordinates of the point  are 112,2.

 

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